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We present the methodology for and detail the implementation of the DarkEnergy Survey (DES) 3x2pt DES Year 1 (Y1) analysis, which combinesconfiguration-space two-point statistics from three different cosmologicalprobes: cosmic shear, galaxy-galaxy lensing, and galaxy clustering, using datafrom the first year of DES observations. We have developed two independentmodeling pipelines and describe the code validation process. We deriveexpressions for analytical real-space multi-probe covariances, and describetheir validation with numerical simulations. We stress-test the inferencepipelines in simulated likelihood analyses that vary 6-7 cosmology parametersplus 20 nuisance parameters and precisely resemble the analysis to be presentedin the DES 3x2pt analysis paper, using a variety of simulated input datavectors with varying assumptions.  We find that any disagreement between pipelines leads to changes in assignedlikelihood $\Delta \chi^2 \le 0.045$ with respect to the statistical error ofthe DES Y1 data vector. We also find that angular binning and survey mask donot impact our analytic covariance at a significant level. We determine lowerbounds on scales used for analysis of galaxy clustering (8 Mpc$~h^{-1}$) andgalaxy-galaxy lensing (12 Mpc$~h^{-1}$) such that the impact of modelinguncertainties in the non-linear regime is well below statistical errors, andshow that our analysis choices are robust against a variety of systematics.These tests demonstrate that we have a robust analysis pipeline that yieldsunbiased cosmological parameter inferences for the flagship 3x2pt DES Y1analysis. We emphasize that the level of independent code development andsubsequent code comparison as demonstrated in this paper is necessary toproduce credible constraints from increasingly complex multi-probe analyses ofcurrent data.

Dark Energy Survey Year 1 Results: Multi-Probe Methodology and Simulated Likelihood Analyses